13197072 has 120 divisors (see below), whose sum is σ = 41164032. Its totient is φ = 3628800.

The previous prime is 13197017. The next prime is 13197097. The reversal of 13197072 is 27079131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72822 + ... + 73002.

Almost surely, 2^13197072 is an apocalyptic number.

13197072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13197072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582016).

13197072 is an abundant number, since it is smaller than the sum of its proper divisors (27966960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13197072 is a wasteful number, since it uses less digits than its factorization.

13197072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 13197072 is about 3632.7774498309. Note that the first 3 decimals coincide. The cubic root of 13197072 is about 236.3156744714.

The spelling of 13197072 in words is "thirteen million, one hundred ninety-seven thousand, seventy-two".